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Finding the Fourth Proportional to 658,891.80, 989,430.84 and 411,148.44

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Solution

The fourth proportional to 658,891.80, 989,430.84 and 411,148.44 is: 617,404.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    658,891.80 : 989,430.84 = 411,148.44 : x
  2. Step 2: Convert to fraction form
    658,891.80/989,430.84 = 411,148.44/x
  3. Step 3: Cross multiply
    658,891.80x = 989,430.84 × 411,148.44
  4. Step 4: Simplify right side
    658,891.80x = 406,802,946,353.89
  5. Step 5: Solve for x
    x = 406,802,946,353.89/658,891.80
  6. Step 6: Final answer
    x = 617,404.78

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.